|I don't believe so.|
It's been ages since I dealt with a T1 but I'm pretty sure they're either a different form factor or they're a different pinout if they use an RJ-45 connector. You can confirm the pinouts of both with a couple quick searches online.
Does your router have any RJ-45 interfaces? If so, you can use one of them.
It matters not how straight the gate,
How charged with punishments the scroll,
I am the master of my fate;
I am the captain of my soul.